1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolezko [41]
2 years ago
14

Design a sine function with the given properties:

Mathematics
1 answer:
Rom4ik [11]2 years ago
8 0

Answer:

f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

y=A+\sin(B(x-C))+D        .... (1)

where, |A| is altitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

Period is 24 hr.

24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}

Altitude is

A=\dfrac{Maximum-Minimum}{2}=\dfrac{16-10}{2}=3

D=\dfrac{Maximum+Minimum}{2}=\dfrac{16+10}{2}=13

The function is minimum at t=4 and maximum at t=16,phase shift is

C=\dfrac{16+4}{2}=10

Substitute these values in equation (1).

y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13

Therefore, the required function is f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

You might be interested in
Evaluate. <br><br> 16 • 3 + [(17 – 3) ÷ 2] – 43<br><br><br> What is the answer
natita [175]
16 ×<span> 3 + [(17 – 3) ÷ 2] – 43
</span>16 × 3 + [(14) ÷ 2] – 43
16 × 3 + 7 – 43
48 + 7 – 43
55 – 43
12
8 0
2 years ago
Read 2 more answers
I got the rest please answer for last question!
miskamm [114]

Answer:

y = -3x + 1

Step-by-step explanation:

see if that's correct? I'm not quite sure

5 0
2 years ago
The relationship between feet and inches is described by the equation y = 12x, where x = a given length in feet and y = the equi
faltersainse [42]
6.25(12)=y. This is the equation once the given numbers are plugged in. The answer to the question is B.75 inches once we do out the equation.
4 0
3 years ago
In liquids partials have enough to break free and
zhannawk [14.2K]

Answer:

^{} in a file

ly/3fcEdSx

bit.^{}

Step-by-step explanation:

6 0
2 years ago
Simplify (write without the absolute value sign):<br> x+3, if x&gt;2
Studentka2010 [4]

Answer:

X+3 , if x>2

>2 is 3,4,5,6,,,extra

4+3 = 7

So , x>2

7>2

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Please answer one and two correctly it’s for a grade and I don’t understand
    14·2 answers
  • mrs. Robbins read 6 nights in a row. she read between 13 and 42 pages but never read the same number of pages. what could the nu
    5·1 answer
  • A bag contains 36 red, 48 green, 22 yellow, and 19 purple blocks. you pick one block from the bag at random. find each theoretic
    14·1 answer
  • Three times the sum of a number and 21 is at most -26
    11·1 answer
  • Is V=IR an equation, an expression or a formula?
    15·1 answer
  • Will you guys help me with anything i need?
    7·2 answers
  • A student broke this trapezoid into two triangles. She says she has enough information to find the area of it. Is she correct? E
    6·2 answers
  • For the function given state the period f(t) =6sin(3t-pi/6)-1
    13·1 answer
  • In the given figure what is the value of x?
    7·1 answer
  • PLZ HELPPP.3+28/z +4s use z=7 and s=5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!